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Finding the Fourth Proportional to 419,910.30, 629,865.45 and 301,812.30

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Solution

The fourth proportional to 419,910.30, 629,865.45 and 301,812.30 is: 452,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,910.30 : 629,865.45 = 301,812.30 : x
  2. Step 2: Convert to fraction form
    419,910.30/629,865.45 = 301,812.30/x
  3. Step 3: Cross multiply
    419,910.30x = 629,865.45 × 301,812.30
  4. Step 4: Simplify right side
    419,910.30x = 190,101,140,155.04
  5. Step 5: Solve for x
    x = 190,101,140,155.04/419,910.30
  6. Step 6: Final answer
    x = 452,718.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.